Solution: Numerical and Graphical Analysis Forces with magnitudes of 180 newtons and 275
Chapter 11, Problem 76(choose chapter or problem)
Forces with magnitudes of 180 newtons and 275 newtons act on a hook (see figure). The angle between the two forces is \(\theta\) degrees.
(a) When \(\theta=30^{\circ}\), find the direction and magnitude of the resultant force.
(b) Write the magnitude M and direction \(\alpha\) of the resultant force as functions of \(\theta\), where \(0^{\circ} \leq \theta \leq 180^{\circ}\).
(c) Use a graphing utility to complete the table.
(d) Use a graphing utility to graph the two functions M and \(\alpha\).
(e) Explain why one of the functions decreases for increasing values of \(\theta\), whereas the other does not.
Text Transcription:
theta
theta=30^circ
alpha
0^circ leq theta leq 180^circ
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